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Level 2

Chapter 2


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1st order of transformation
shift left or right
2nd order of transformation
stretch or compress horizontally
3rd order of transformation
reflect about the y-axis
4th order of transformation
stretch or compress vertically
5th order of transformation
reflect about the x-axis
Last order of transformation
shift up or down
Shifted upwards
When graph of y = f(x) + k
Shifted downwards
When graph of y = f(x) - k
Shift to the left
When graph of y = f(x + h)
Shift to the right
When graph of y = f(x - h)
Vertical compression
y = af(x) is the graph of y = f(x) compress vertically by a factor of |a| units if |a| < 1
Vertical stretch
y = af(x) is the graph of y = f(x) stretch vertically by a factor of |a| units if |a| > 1
Horizontal compression
y = f(cx) is the graph of y = f(x) compressed horizontally by a factor of |1/c| units if |c| > 1
Horizontal stretch
y = f(cx) is the graph of y = f(x) stretched horizontally by a factor of |1/c| units if |c| < 1
Reflected about the x-axis
Graph of y = -f(x) is the graph y = f(x)
Reflected about the y-axis
Graph of y = f(-x) is the graph of y = f(x)